What is obtained after simplifying 6p − 4q + 2p + 9q?
Answer and explanation
Correct answer: 8p + 5q
The governing concept is combining like terms. Terms with p can be combined with other p-terms, and terms with q can be combined with other q-terms. Rearrange mentally as (6p + 2p) + (−4q + 9q). The coefficients give 6 + 2 = 8 and −4 + 9 = 5, so the simplified expression is 8p + 5q. Option B incorrectly subtracts the q coefficients; option C incorrectly uses 6 − 2 for the p terms; and option D multiplies variables that should not be multiplied. Therefore option A is correct.
Frequently asked questions
What is the correct answer to this question?
8p + 5q
Why is this the correct answer?
The governing concept is combining like terms. Terms with p can be combined with other p-terms, and terms with q can be combined with other q-terms. Rearrange mentally as (6p + 2p) + (−4q + 9q). The coefficients give 6 + 2 = 8 and −4 + 9 = 5, so the simplified expression is 8p + 5q. Option B incorrectly subtracts the q coefficients; option C incorrectly uses 6 − 2 for the p terms; and option D multiplies variables that should not be multiplied. Therefore option A is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions. Topic: Like Terms.
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